{
  "id": "1709.05331",
  "version": "v1",
  "published": "2017-09-13T13:03:49.000Z",
  "updated": "2017-09-13T13:03:49.000Z",
  "title": "On prime numbers of the form $2^n \\pm k$",
  "authors": [
    "José Manuel Rodríguez Caballero"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "Consider the set $\\mathcal{K}$ of integers $k$ for which there are infinitely many primes $p$ such that $p+k$ is a power of $2$. The aim of this paper is to show a relationship between $\\mathcal{K}$ and the limits points of some set rational numbers related to a sequence of polynomials $C_n(q)$ introduced by Kassel and Reutenauer [KasselReutenauer].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-13T13:03:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "prime numbers",
      "set rational numbers",
      "limits points",
      "relationship",
      "polynomials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}